In a city of 30,000 homes, a survey was taken to determine the number with cable television. Of the 300 homes surveyed, 171 had cable television. A) Estimate the number of homes in the city that have cable television.

Question

Emma Atkinson

Mathematics

1 July, 05:58

In a city of 30,000 homes, a survey was taken to determine the number with cable television. Of the 300 homes surveyed, 171 had cable television. A) Estimate the number of homes in the city that have cable television.

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Answers (1)

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Chaim Johns · Answer 1

The estimate for the number of homes in the city that have cable television is 17,100.

Step-by-step explanation:

To estimate for the entire city, we can take our estimative from the sample (if it is large enough), and apply to the entire city.

Sample

Of 300, 171 had cable television

Percentage: 171/300 = 0.57.

For the entire city

57% of 30,000. So

0.57*30000 = 17100

The estimate for the number of homes in the city that have cable television is 17,100.